1960103040 has 512 divisors, whose sum is σ = 7614259200. Its totient is φ = 419414016.

The previous prime is 1960103029. The next prime is 1960103063. The reversal of 1960103040 is 403010691.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1960103040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18318667 + ... + 18318773.

It is an arithmetic number, because the mean of its divisors is an integer number (14871600).

Almost surely, 2^1960103040 is an apocalyptic number.

1960103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807129600).

1960103040 is an abundant number, since it is smaller than the sum of its proper divisors (5654156160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1960103040 is a wasteful number, since it uses less digits than its factorization.

1960103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1960103040 is about 44273.0509452421. The cubic root of 1960103040 is about 1251.4868791843.

The spelling of 1960103040 in words is "one billion, nine hundred sixty million, one hundred three thousand, forty".